Question 250417
{{{ A=L*W=27 }}}
{{{ L=3+W}}}
{{{ (3+W)W=27}}}
{{{ W^2+3W=27}}}
{{{ W^2+3W-27=0}}}
Use the quadratic formula,
 {{{W = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
{{{W = (-3 +- sqrt( 3^2-4*1*(-27) ))/(2) }}}
{{{W = (-3 +- sqrt( 9+108))/(2) }}}
{{{W = (-3 +- sqrt( 117))/(2) }}}
Keep only the positive W.
{{{W = (-3 + sqrt( 117))/(2) }}}
{{{ L=3+W}}}
{{{L = 6/2+(-3 + sqrt( 117))/(2) }}}
{{{L = (3 + sqrt( 117))/(2) }}}